The cost equation for Debra is given by 4x + 6y = 94 and for Heather is 5x + 3y = 77.
What are Linear equations in two variables?Linear equations in two variable have one, none, or infinitely many solutions, with the highest exponent order of 1 in each of the two variables. The standard form of a two-variable linear equation is ax + by + c = 0, where x and y are variables. Solutions can also be written in pairs, for example (x, y). A two-variable linear equation system is represented graphically by two straight lines that can intersect, parallelize, or coincide.
According to the given condition, we have 2 equations:
4x + 6y = 94
5x + 3y = 77
Now, multiply by 2 on both sides of the equation 5x + 3y = 77 to obtain:
10x + 6y = 154
Now, subtracting the equation 10x + 6y = 154 and 4x + 6y = 94.
[10x + 6y = 154] - [ 4x + 6y = 94]
6x + 0y = 60
x = 10
Putting the value of x = 10 in equation 4x + 6y = 94, we get
y = 9
So, the cost of 1 hammer is 10$ and tape is 9$.
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which statements are true
What is −10 + |−4| − |−12|?
−6
−12
−18
−22
Answer:
c= -18 is your answer
WILL GIVE BRAINIST.
1. The soccer team is making pizzas for a fundraiser. They put1/4 of a pound of cheese on each pizza. If they have 12 one-pound packages of cheese, how many pizzas can they make? pizzas ?
2. Dan purchased 3 ½ yards of mulch for his garden. Mulch costs $25 a yard. How much did Dan pay for his mulch? $
3. Mr. Hamilton owns 2 ¾ acres of land. He plans to buy 1 and 1/3 more acres. How many acres will he own? Write your answer as an improper fraction. acres
What is the probability of X=4?
Image above.
Answer:
0.30
Step-by-step explanation:
sum of all probabilities is 1
so:
p(x=4) = 1 - ( 0.01 + 0.04 + 0.10 + 0.12 + 0.30 + 0.11 + 0.01 +0.01)
= 1 - 0.70
= 0.30
7.
Peter's credit card payment is $75 per month.
He paid an annual fee of $45 per year.
He also paid $17 in fees the first year and $35 in fees the second year.
What is the total amount Peter paid during the 2 years?
A $997
B. $1,597
C. $1,852
D. $1,942
Answer:
997
Step-by-step explanation:
75×12=900
900+45+35+17=997
The sum of three consecutive integers is 171. What are the integers?
Answer:
56, 57, 58Step-by-step explanation:
The sum of three consecutive integers is 171. What are the integers?
(171 - 3) : 3 =
168 : 3 = 56
56 + 1 = 57
57 + 1 = 58
-------------------
56 + 57 + 58 = 171
the answer is good
Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the most accurate rate of speed Morris is traveling?
answer:48 miles per hour
An elephant can drink up to 6,400 fluid
ounces of water a day. How many gallons of
water can an elephant drink per day?
Answer: They require 18 to 26 gal of water. But they may also consume 40 gal
Step-by-step explanation:
In the lab, Miguel has two solutions that contain alcohol and is mixing them with each other. He uses twice as much Solution A as Solution B. Solution A is 12% alcohol and Solution B is 16% alcohol. How many milliliters of Solution B does he use, if the resulting mixture has 120 milliliters of pure alcohol? Number of milliliters of Solution B: X Ś
Miguel uses 300 mL Solution B and 600 mL Solution A.
What is termed as the percentages?A percentage is a relative value that symbolizes the hundredth part of any quantity.One percent (symbolized 1%) is one hundredth part; thereby, 100 percent symbolizes the entire amount as well as 200 percent clarifies twice the given amount.Let x represent the amount of Solution B used.
2x = the quantity of Solution A used.
Solution A is alcohol = 12%.
Solution B is alcohol = 16%.
Given that 12% = 0.12 and 16% = 0.16, we can calculate the following equation:
2x(0.12) + x(0.16) = 120 (Recall that pure alcohol has a concentration of 100% = 1.00.)
0.24x + 0.16x = 120
0.40x = 120
x = 300 mL
Thus, Miguel makes use of 300 mL of Solution B and 2(300) = 600 mL of Solution A.
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A school event requires at least 2 parents for every 5 kids. How many parents for 60 kids?
Answer: 24
Step-by-step explanation:
60/5= 12
12(kids) times 2(parents)= 24 parents for 60 kids
More of this.. of course
anyways only answer if you are sure
Answer:
41.6
Step-by-step explanation:
You have a duplicate question. Explanation is there. Hope it helps!
All work is shown in the screenshot that is provided! :)
Determine which integer will make the inequality 3(n + 1) > 5(n − 3) true.
A: S:{9}
B: S:{0}
C: S:{15}
D: S:{18}
n < 9 makes the inequality 3(n + 1) > 5(n − 3) true.
Hence, option A) S:{ 9 } is the correct answer.
What integer will make the given inequality true?Given the inequality in the question
3(n + 1) > 5(n − 3)
To determine the integer will make the inequality true, we simply solve for n.
3(n + 1) > 5(n − 3)
Remove the parenthesis using distributive property
3×n + 3×1 > 5×n + 5×−3
3n + 3 > 5n - 15
Collect like terms
3n + 3 > 5n - 15
3n - 5n > - 15 - 3
-2n > - 18
Divide both sides by -2.
Note that; when dividing or multiplying both sides of an inequality by a negative value, the inequality sign flips to the opposite direction.
-2n/-2 < -18/-2
n < 9
n < 9 makes the inequality 3(n + 1) > 5(n − 3) true.
Hence, option A) S:{ 9 } is the correct answer.
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Answer:
a) S:{9}
Step-by-step explanation:
Given equation,
→ 3(n + 1) > 5(n - 3)
Now the value of n will be,
→ 3(n + 1) > 5(n - 3)
→ 3n + 3 > 5n - 15
→ 3n - 5n > -15 - 3
→ -2n > -18
→ n < (-18)/(-2)
→ n < 18/2
→ [ n < 9 ]
Hence, the value of n is 9.
Which value of n makes the following equation true?
√n=4
Answer:
n = 16
Step-by-step explanation:
The equation is,
→ √n = 4
Solving for the value of n,
→ √n = 4
→ n = 4²
→ [ n = 16 ]
Hence, the value of n is 16.
Adu can type 250wards in 5 minutes.How long does he take to type 900wards
Answer: 18 minutes
Step-by-step explanation:
900 divided by 250 = 3.6
3.6 times 5 = 18 minutes.
Answer:
18 minutes
Step-by-step explanation:
rate = 250 w / 5 min
900 w / rate = time = 900 w / (250 w/ 5min) = 18 minutes
Does the graph show the relationship is a proportional
relationship? Does the relationship have a constant of
proportionality? Justify your answer using any two points
from the table,
The linear relation is:
y = x + 2
This is not a proportional relationship, as the y-intercept is different than zero, and then, it does not have a constant of proportionality.
What can we conclude about the given relationship?
The relationship clearly shows a linear relation, so we can get the slope if we use the first two points (2, 4) and (4, 6). The slope is:
s = (6 -4)/(4 - 2) = 1
Then the linear relation is of the form:
y = 1*x + b
To find the value of b we replace the values of the first point:
4 = 1*2 + b
4 - 2 =b
2 = b
The linear relation is:
y = x + 2
This is not a proportional relationship, as the y-intercept is different than zero, and then, it does not have a constant of proportionality.
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Answer:
No, because it doesn't go through zero
Step-by-step explanation:
A parcel of land measures 4 x 105 acres. If the parcel is divided into
five equally sized parts, how many acres is each part?
Answer: the answer would be 0.8 x 21 acres of land
Step-by-step explanation:hope it helps, brainliest? i could really use it
what is the effect on the graph of f(x)=1/x when it is trandformed to g(x)=1/x - 7
When f(x) = 1/x is converted to g(x) = 1/x - 7, the impact that this has on the graph of f(x) is that the graph of f(x) is moved down by seven units.
What is a Graph?The connection that exists between lines and points in a network may be described using a graph, which is a mathematical description of a network.
g(x)=1/x - 7
f(x)= 1/x
There is a negative seven when the change occurs.
As a result, the graph of f(x) is moved 7 units below.
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Based on the two data sets given below, which of the following statements are true? Select two that apply. Data Set 1: 5, 5, 6, 6, 7, 7 Data Set 2: 1, 3, 5, 7, 9, 11 A. Data Set 2 has a larger mean than Data Set 1. B. Data Set 2 has the same mean as Data Set 1. C. Data Set 2 has a larger standard deviation than Data Set 1. D. Data Set 2 has a smaller standard deviation than Data Set 1.
Answer:
Data Set 2 has the same mean as Data Set 1.
and
Data Set 2 has a larger standard deviation than Data Set 1
Step-by-step explanation:
Mean of both data sets is the same = 6
Data set 2 has a larger standard deviation since the data values are further away from the mean than the data values in data set 1 are from the mean and standard deviation is a measure of variance i.e. how far data set values are from the mean
I need help with 4 and 5
4. The two triangles are similar by virtue of the AAA triangle congruence theorem as a result of the corresponding angles which have equal measures.
5. The length of segment CE to the nearest tenth is; 46.7 in.
What is the length of segment CE as required in the task content?4. The ∆CBD and ∆CAE are similar (congruent) following the fact that angle C is common to both triangles and the angles A and E have equal measures as E and D respectively by virtue of corresponding angles theorem. Ultimately, the two triangles; ∆CBD and ∆CAE are congruent since all three angle measures are the same in the triangles.
The corresponding angles in discuss is due to the fact that the lines ED and AE are parallel lines.
5. Also, upon establishing the congruence of the two triangles, it follows that the ratio of their corresponding sides is same for all three sides.
Therefore, we can establish that;
BD/AE = CD/CE
6/14 = 20/CE
CE = (14 × 20)/6
CE = 140/3
CE = 46.667 in.
Ultimately, the length of segment CE to the nearest tenth is; 46.7 in.
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How many solutions are the answer of this problem? 9x-7=3(3x+2)
The number of solutions in the equation 9x - 7 = 3(3x + 2) is 0
How to determine the number of solutions in the equation?The equation is given as
9x - 7 = 3(3x + 2)
Open the bracket in the above equation
So, we have
9x - 7 = 9x + 14
Subtract 9x from both sides of the equation
So, we have
-7 = 14
The above equation is false
Hence, the number of solutions in the equation is 0
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What is the interval notation for
{x: −4 ≤ x < 9}?
Answer:
Step-by-step explanation:
(x-4,9)
PLEASE HELPPPP
In a particular year, a total of 60,831 students studied in two of the most popular host countries when traveling abroad. If 5981 more students studied in the most popular host country than in the
second most popular host country, find how many students studied abroad in each country.
There were …..
students who studied abroad in the most popular host country.
Answer:
66812
Step-by-step explanation:
60831+5981=66812
1. Julianne found a job listed in the classified ads that pays a yearly salary of $41K. What is the
weekly salary based on this annual salary?
Julianne's weekly salary based on this annual salary is $788.46
The yearly salary that the job pays Julianne = $41K
No. of weeks in a year = 52 weeks
When referring to a Participant, the term Weekly Salary refers to the weekly rate of pay for services that the Employer had been providing to the Participant at the time of his or her termination from the Employer. According to the Employer's payroll records, the Weekly Salary of a Participant whose rate of pay for services is based on an annual rate shall be equivalent to 1/52 of the yearly such rate at the time of his or her Termination of Employment from the Employer.
Therefore, finding out the weekly salary of Julianne we get:
=Annual salary of Julianne/No. of weeks in a year
= 41000/52 = $788.46
Hence, Julianne's weekly salary based on this annual salary is $788.46
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Mark decided to make Christmas presents for his classmates. He bought 10 lb of two types of candies: caramel candies for $2.80 per pound and chocolate candies for $3.50 per pound.
Write a function f(x) that represents the total cost of the candy, where x is the weight of the less expensive candy.
Total cost of the candy is represented by the function f (x) is;
⇒ f (x) = $2.80x + $3.50y
Where, x is the weight of the less expensive candy (caramel candy)
and, y is the weight of chocolate candies.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Mark bought 10 lb of two types of candies to make Christmas present for his classmates.
Let x is the weight of the less expensive candy (caramel candy).
And, y is the weight of chocolate candies.
Now, The cost of caramel candies = $2.80x
And, The cost of chocolate candies = $3.50y
Hence, Total cost of the candy = $2.80x + $3.50y
Therefore, Total cost of the candy is represented by the function f (x) is;
⇒ f (x) = $2.80x + $3.50y
Where, x is the weight of the less expensive candy (caramel candy)
and, y is the weight of chocolate candies.
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Is x=0 if x is greater than negative infinity but lesser than infinity?
PLEASE HELP ANSWERING THIS QUESTION QUICKLY! THIS QUESTION IS SO CONFUSED!
Based on the graph above, estimate to one decimal place the average rate of change from x=1 to x=3 (Blank).
Explain!
Thanks!
The average rate of change from x=1 to x=3 is -1
How to find the average rate of change from x=1 to x=3?On the given graph, we have the following function values
f(1) = 6
f(3) = 4
The average rate of change from x=1 to x=3 is then calculated as
Rate = [f(3) - f(1)]/[3 - 1]
This gives
Rate = [4 - 6]/[3 - 1]
Evaluate
Rate = -1
Hence, the average rate of change from x=1 to x=3 is -1
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. If C lies between A and B on AB, then AC + CB = AB. What can you logically conclude about AB?
Answer: AB is twice the size of AC and twice the size of CB
Step-by-step explanation: "Lies between" means that it's in the middle. C is in the middle of A and B. A to C would be the same distance of C to B because C seperates the segments into 2 equal halves. AB is the whole segment including C, you could do AC + AC if you substituted it for the lengths and you would still get AB
Factorize: a+2-15a^2
Answer: -1(5a-2)(3a+1)
Step-by-step explanation:
Answer:
-(5a-2)(3a+1)
Step-by-step explanation:
What is the cost of lighting a 500-watt outdoor light for 8 hours, if electricity costs 7.5¢ per kilowatt-hour?
Select one:
A.
30 cents
B.
45 cents
C.
60 cents
D.
67 cents
The cost of lighting a 500-watt outdoor light for 8 hours according to the task content is; 30 cents.
What is the cost of lighting a 500-watt outdoor for 8 hours?According to the task content, the energy consumption for lighting the 500-watt outdoor light for 8 hours is; 500 × 8 = 4000 watt-hour = 4 kilowatt-hour.
On this note, since electricity costs 7.5¢ per kilowatt-hour, the cost of 4 kilowatt-hour is; 7.5¢ × 4 = 30 cents.
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wall has an
area
tim
9 123m2
of faint will couet 14 m²
Hattie needs to work out how
of paints will need to
many
use
A
A
المعلن
tin's
buy.
estimation to work out how many ting
needs.